What is the de Broglie wavelength of an electron with the kinetic energy of \(120\) eV?
1. \(0.123\) nm
2. \(0.121\) nm
3. \(0.112\) nm
4. \(0.131\) nm
For what kinetic energy of a neutron will the associated de Broglie wavelength be
1.40 x m?
1.\(1.1 \times 10^{-2}\ eV\)
2.\(2.1 \times 10^{-2}\ eV\)
3.\(3.3 \times 10^{-2}\ eV\)
4.\(4.2 \times 10^{-2}\ eV\)
What is the de Broglie wavelength of a nitrogen molecule in air at 300 K? Assume that the molecule is moving with the root-mean-square speed of molecules at this temperature. (Atomic mass of nitrogen = 14.0076 u)
1. 0.028 nm
2. 0.031 nm
3. 0.127 nm
4. 0.0139 nm
What is the de Broglie wavelength of a bullet of mass \(0.040\) kg traveling at the speed of \(1.0\) km/s?
1. \(1.65\times10^{-35}\) m
2. \(1.05\times10^{-35}\) m
3. \(2.15\times10^{-35}\) m
4. \(2.11\times10^{-35}\) m
An electron and a photon each have a wavelength of 1.00 nm. The momentum of the electron will be:
1. Greater than photon.
2. Equal to the photon.
3. Less than photon.
4. None of these.
An electron microscope uses electrons accelerated by a voltage of 50 kV. The de Broglie wavelength associated with the electrons is:
1. \(6.7 \times 10^{-12} \mathrm{~m}\)
2. \(5.4 \times 10^{-12} \mathrm{~m}\)
3. \(8.5 \times 10^{-12} \mathrm{~m}\)
4. \(4.4 \times 10^{-12} \mathrm{~m}\)
The typical de Broglie wavelength associated with a He atom in helium gas at room temperature and 1 atm pressure will be:
1. \(4.63 \times 10^{-11} \mathrm{~m}\)
2. \(6.2 \times 10^{-12} \mathrm{~m}\)
3. \(7.3 \times 10^{-11} \mathrm{~m}\)
4. \(5.7 \times 10^{-12} \mathrm{~m}\)
The typical de-Broglie wavelength of an electron in metal at \(27^{\circ}\text{C}\) will be:
1. \(4.4 \times 10^{-10} ~\text{m}\)
2. \(3.4 \times 10^{-9}~ \text{m}\)
3. \(1.3 \times 10^{-10}~ \text{m}\)
4. \(6.2 \times 10^{-9} ~\text{m}\)